Question

10 men and 8 boys can do the same work.As 4 men and 20 boys . Then how many man will do the work.Of 16 boys

Answer 1

${\huge {\mathfrak {Answer :-}}}$

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Let, a boy can do x part of work.

And, a man can do y part of work.

Thus,

$\implies$ 10/y + 8/x = 4/y + 20/x

$\implies$ 6/y = 12/x

$\implies$ 1/y = 2/x

$\implies$ 8/y = 16/x

Considering the above equation we can clearly say that 8 man will do the work of 16 boys.

.°. 8 man will do the work of 16 boys.

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Answer 2

Answer :

8 man will do the work of 16 boys.

Step-by-step explanation :

Given that :

10 men and 8 boys can do the same work.

As, 4 men and 20 boys.

To Find :

How many man will do the work of 16 boys.

Solution :

Let, a boy can do a part of work.  

And, a man can do b part of work.

Now,

$\sf \implies\dfrac{10}{b}+\dfrac{8}{a} = \dfrac{4}{b} + \dfrac{20}{a}\\\\\implies\dfrac{6}{y} = \dfrac{12}{a}\\\\ \implies\dfrac{1}{b} =\dfrac{2}{a}\\\\\implies\dfrac{8}{b} = \dfrac{16}{a}$

Hence,

It implies that 8 man will do the work of 16 boys.